As expected, the contribution from \(\widetilde{E}+\widetilde{G}_1\)  has the largest magnitude, followed by \(\widetilde{H}+\widetilde{G}_2\) . This is in accordance with the findings of the twist-2 case [1]}, as well as of the usual axial form factors [2]}. The values for \(\widetilde{G}_3\)  are found to be exactly zero, and \(\widetilde{G}_4\)  has a zero real part for \(z\le 6a\) . We note that the integrals \(\int dx \widetilde{G}_i=0\)  (\(i=1,2,3,4\) ) [3]}, which might explain why \(\widetilde{G}_4\)  which appears on its own in the decomposition, is very small. In addition, \(\int dx x \widetilde{G}_3=\frac{\xi }{4} G_E(t)\) , which is zero in our calculation (\(\xi =0\) ).
